STERN–BROCOT PRESSURE AND MULTIFRACTAL SPECTRA IN ERGODIC THEORY OF NUMBERS

DOI10.1142/S0219493704000948zbMath1077.37009OpenAlexW2111762569MaRDI QIDQ5701563

Marc Kesseböhmer, Bernd O. Stratmann

Publication date: 3 November 2005

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493704000948

zbMATH Keywords

Hausdorff dimensionmodular groupcontinued fractionsergodic theorymultifractalsnumber theorythermodynamical formalismStern-Brocot sequence

Mathematics Subject Classification ID

Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (9)

A multifractal analysis for Stern-Brocot intervals, continued fractions and Diophantine growth rates ⋮ The thermodynamic approach to multifractal analysis ⋮ The Lyapunov spectrum of some parabolic systems ⋮ Lyapunov spectra for KMS states on Cuntz-Krieger algebras ⋮ LARGE DEVIATION ASYMPTOTICS FOR CONTINUED FRACTION EXPANSIONS ⋮ Multifractal analysis of weighted ergodic averages ⋮ Fractal analysis for sets of non-differentiability of Minkowski's question mark function ⋮ Regularity of Minkowski's question mark measure, its inverse and a class of IFS invariant measures ⋮ Dimension sets for infinite IFSs: the Texan conjecture

Cites Work

• Group completions and limit sets of Kleinian groups
• Geodesic flows, interval maps, and symbolic dynamics
• Unnamed Item

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